Finding the Third Proportional to 36,612 and 79,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,612 : 79,744.50 = 79,744.50 : x
2. Step 2: Convert to fraction form
   36,612/79,744.50 = 79,744.50/x
3. Step 3: Cross multiply
   36,612x = 79,744.50 × 79,744.50
4. Step 4: Simplify right side
   36,612x = 6,359,185,280.25
5. Step 5: Solve for x
   x = 6,359,185,280.25/36,612
6. Step 6: Final answer
   x = 173,691.28